Answer:
3pi/4 and -pi/4
Step-by-step explanation:
We can simplify -6/6 to -1.
Therefore, this function can be simplified to arctan(-1).
Recall that the meaning of arctan is to find a value that will get the value inside the parenthesis when taken the tangent of it. In other words, tan(x) = -1.
Recall that tan(x) = sin(x)/cos(x). Now recall that sin(pi/4) and cos(pi/4) are both sqrt(2)/2, meaning that tan(pi/4) is 1. To make it -1, we can either make sin(x) -1 while keeping cos(x) 1, or the other way around.
If x is -pi/4, cos(x) will still be 1, but sin(x) will be -1, so tan(-pi/4) will be -1.
If x is 3pi/4, cos(x) will be -1, but sin(x) will still be 1, so tan(3pi/4) will be -1.
Side note: there are still infinite more answers. You can attain them by adding or subtracting 2pi as many times as you want from 3pi/4 or -pi/4 and still get an arctan of -1.
Try This question out and I’ll give you brainliest
Answer:
(1,-1)
(0,4)
(-2,14)
Step-by-step explanation:
5 * 1 = 5 + -1 = 4
5 * 0 = 0 + 4 = 4
5 * -2 = -10 + 14 = 4
What do you get when you add 3 1/4 and 5 3/4?
2.
What is the answer to 6 2/3 + 5 3/4?
3.
How much is 18 – 4 1/5?
Answer:
HI THERE 1. is 9 2. is 7.08 and 3. is 13.8 pls mark brainlist
Step-by-step explanation:
Answer:
#1 is 9
#2 is 12 and 5/12
#3 is 69/5 or 13.8
I need help! (show how you got the answer) -1\2x
Answer:
please explain what you mean better
Step-by-step explanation:
What is the future value (total amount due) on a $12,000 loan at 8% compounded
semiannually (twice a year) for 7 years?
Answer: $20,780.10
Step-by-step explanation:
You need the Compound Interest Formula
A = P(1 + r/n)^nt
Step 1: Create the equation.
12,000(1 + 0.08/2)¹⁴
Step 2: Solve the equation.
Follow PEMDAS (parenthesis, exponents, multiplication...)
Parenthesis: (1 + 0.08/2) = (1 + 0.04) = (1.04)
Exponents: (1.04)¹⁴ = (1.73168)
Multiplication: 12,000(1.73168) = 20,780.1
99x76 using an over strategy
Multiplication means the repeated addition of groups of equal sizes. When 99 and 76 are multiplied we get the value 7524.
What is Multiplication?Multiplication means the repeated addition of groups of equal sizes.
The given two numbers are 99 and 76.
Set up your multiplication problem like this:
99
*76
______
9 x 6 = 54. Put 4 below the line and 5 as a reminder on top:
99
*76
______
4
6 x 9 = 54. Take 54 and add 5 from the previous step to get 59. Enter 59 at the bottom
99
*76
______
594
Enter a 0 at the bottom right as a place holder, because you now move over one digit:
99
*76
______
594
+ 0
7 x 9 = 63. Put 3 below the line and 6 as a reminder on top:
99
*76
______
594
+ 30
7 x 9 = 63. Take 63 and add 6 from the previous step to get 69. Enter 69 at the bottom:
99
*76
______
594
+6930
Add up the bottom two numbers (594 + 6930 = 7524) to get the answer:
99
*76
______
594
+6930
________
7524
Therefore Multiplication of 99 and 76 is 7524.
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You are building a rectangular flowerbed for your back yard. The flowerbed will surround the flowers and sit on the ground. The
ground where you want to plant the flowers is 4 ft. by 7 ft. How many feet of boards will you need to build the flowerbed? Your
answer should be a number only.
Given parameters:
Dimension of the flowerbed = 4ft by 7ft
Unknown:
Number of feet to build the flowerbed = ?
Since the flowerbed will be surrounding the flows, we should simply find the perimeter of the bed.
This is a rectangular area;
Perimeter = 2(L + B)
Input the parameters and solve;
Perimeter = 2 (4 + 7)
Perimeter = 2 x 11 = 22cm
The perimeter of the board is 22cm
log 3x+log 4x = log 192
First, remember that:
log
a
(
b
⋅
c
)
=
log
a
(
b
)
+
log
a
(
c
)
Therefore, we can say that:
log
(
4
x
)
+
log
(
3
x
+
1
)
=
log
(
4
x
⋅
(
3
x
+
1
)
)
⇒
log
(
12
x
2
+
4
x
)
We now rewrite the equation:
log
(
12
x
2
+
4
x
)
=
3
Now remember that:
log
(
b
)
=
log
10
(
b
)
And that if
log
a
(
b
)
=
c
, then
b
=
a
c
Therefore, we can now simplify the equation.
log
(
12
x
2
+
4
x
)
=
3
=>
log
10
(
12
x
2
+
4
x
)
=
3
=>
(
12
x
2
+
4
x
)
=
10
3
=>
12
x
2
+
4
x
=
1000
=>
12
x
2
+
4
x
−
1000
=
0
Let's use the quadratic formula
−
b
±
√
b
2
−
4
(
a
)
(
c
)
2
(
a
)
We now know that:
x
=
−
4
±
√
4
2
−
4
(
12
)
(
−
1000
)
2
(
12
)
We can now solve for
x
.
=>
x
=
−
4
±
√
48016
24
=>
x
=
−
4
±
4
√
3001
24
=>
x
=
−
1
±
√
3001
6
=>
x
≈
8.964
,
9.197
Now, we see that when
x
<
0
, whatever solution we have will be extraneous.
Therefore,
x
≈
8.964
the sum of two numbers is 16 and their difference is 4. what are the two numbers? HELP! PLEASE! BRAINLIEST TO WHOEVER ANSWERS IN THE NEXT 2 MINUTES!
Answer 6 and 10
Step-by-step explanation:
Answer:
10+6 and 10-6
Step-by-step explanation:
10+6
16
10-6
4
Solve for x.
x/7 + 9 = 15
X= 84
x = 42
x = 168
x=24
what does 5/4 divided by 10 equal????
DEADLINE TOMORROW
Answer:
0.125. sorry if it's wrong. (Disclaimer: Math is not my best subject :) )
Step-by-step explanation:
5/4÷10 on a calculator
Use the figure to find the angle measures.
PLEASE HELP!!!
Give a real-life situation of angle measurement
Answer:
A clock forms an example of angles in real life.
Step-by-step explanation:
please helppp need the answers
Explain The sixth-graders collected 765 cans of food for the food pantry last year. This year they collected 1750 cans. How many fewer cans did they collect last year than this year? Explain how you found the answer
Answer:
985
Step-by-step explanation:
subtract 765 from 1750 or do this 1750
- 765
--------------
985
8. There are 172 students on a field trip. Seven students traveled in cars and the rest traveled in
5 full buses. How many students traveled in one bus?
quation check your solution.
Answer:
I hope this helps you
Step-by-step explanation:
25 student travelled in one bus
The percentage of cotton in material used to manufacture men's shirts follows.
a. Construct a stem-and-leaf display for the data.
b. Calculate the median and quartiles of these data.
33.2 37.8 34.6 33.0 32.8 36.1 34.3 35.5 32.9 36.6 34.1 33.0 33.2 36.4 32.5
34.7 34.7 37.6 33.6 33.5 33.9 37.4 32.8 34.0 35.1 32.1 35.6 37.4 35.1 35.0
32.1 32.8 36.7 34.6 37.1 34.6 33.8 37.0 34.5 35.5 33.2 36.3 36.4 32.5 35.2
32.0 35.5 36.7 34.1 33.8 36.5 32.8 35.5 32.4 36.4 34.0 32.2 35.6 32.5 34.4
32.9 35.0 35.4 33.2
Answer:
Median = 34.55
Quartiles:
Q1 = 33.1
Q2 = 34.55
Q3 = 35.6
Inter Quartile range = 2.5
Step-by-step explanation:
Step 1
We arrange the given the following data from lowest to the highest
32.0, 32.1, 32.1, 32.2, 32.4, 32.5, 32.5, 32.5, 32.8, 32.8, 32.8, 32.8, 32.9, 32.9, 33.0, 33.0, 33.2, 33.2, 33.2, 33.2, 33.5, 33.6, 33.8, 33.8, 33.9, 34.0, 34.0, 34.1, 34.1, 34.3, 34.4, 34.5, 34.6, 34.6, 34.6, 34.7, 34.7, 35.0, 35.0, 35.1, 35.1, 35.2, 35.4, 35.5, 35.5, 35.5, 35.5, 35.6, 35.6, 36.1, 36.3, 36.4, 36.4, 36.4, 36.5, 36.6, 36.7, 36.7, 37.0, 37.1, 37.4, 37.4, 37.6, 37.8
a. Construct a stem-and-leaf display for the data.
Stem and leaf Display
Stem | Leaf
32 | 0,1,1,2,4,5,5,5,8,8,8,8,9,9
33 | 0,0,2,2,2,2,5,6,8,8,9
34 | 0,0,1,1,3,4,5,6,6,6,7,7
35 | 0,0,1,1,2,4,5,5,5,5,6,6,
36 | 1,3,4,4,4,5,6,7,7,
37 | 0,1,4,4,6,8
b. Calculate the median and quartiles of these data.
Number of terms = 64
1) Median = 1/2(n + 1)th value
n = 64
= 1/2(64 + 1)th
= 1/2(65)th
= 32.5 th value
This means it is between the 32nd and 33rd value
32nd = 34.5
33rd = 34.6
= 34.5 + 34.6/2
= 69.1/2
= 34.55
2) First Quartile
1/4(n + 1)th value
n = 64
= 1/4(64 + 1)th
= 1/4(65)th
= 16.5th value
This means it is between the 16th and 17th value
16th value = 33.0
17tj value = 33.2
= 33.0 + 33.2/2
= 66.2/2
= 34.55
Q1 --> 33.1
3)Second Quartile = Median
1/2(n + 1)th value
n = 64
= 1/2(64 + 1)th
= 1/2(65)th
= 32.5 th value
This means it is between the 32nd and 33rd value
32nd = 34.5
33rd = 34.6
= 34.5 + 34.6/2
= 69.1/2
= 34.55
Q2 --> 34.55
Third Quartile
3/4(n + 1)th value
n = 64
= 3/4(64 + 1)th
= 3/4(65)th
= 48.75 th value
This means it is towards the 49th value
32nd = 34.5
Hence,
Q3 --> 35.6
Inter Quartile range
Q3 - Q1
= 35.6 - 33.1
= 2.5
The sum of two complex numbers, where the real numbers do not equal zero, results in a sum of 34i. Which statement must be true about the complex numbers?
1) The complex numbers have equal imaginary parts.
2) The complex numbers have equal real parts.
3) The complex numbers have opposite imaginary parts.
4) The complex numbers have opposite real parts.
Answer:
4
It is right on edge
Answer:
the complex numbers have opposite real parts
Step-by-step explanation:
just took it on edge;)
steven swam 4 6/7 meters crossing lady jay creek. write the distance he swam as a mixed number
Answer:
34/7
Step-by-step explanation:
Solve for x this will really help me i been stuck on this question
Answer:
the answer is 52.
Step-by-step explanation:
because of the locations of the two angles, it can be concluded that 156=3x.
now you have an equation.
solve for x.
[tex]156=3x\\156/3= x\\52=x[/tex]
hope this helps ;)
make x the subject
m= n+x/p
m = n+ x/p
m (*p) = n (*p) + x/p (*p)
mp = np + x
x= mp - np
x= p ( m - n)
multiply using the distributice property 4x8
I need help plz someone help me
Answer:
tdyfauuotudpaoutaoiyyfiayidgaliiaflisyptpsititwou
Answer:
Use the number line to find each measure.
1. LineBD: -8
2. LineDG: 7
3. LineAF: -6
4. LineEF: 3
5. LineBG: 1
6. LineAG: -1
7. LineBE: -7
8. LineDE: -1
Find the distance between each point.
1. 10
2. [tex]\sqrt{29}[/tex]
3. 7
4. 5
5. [tex]\sqrt{229}[/tex]
6. 5
7. [tex]\sqrt{221}[/tex]
8. [tex]\sqrt{53}[/tex]
4x - 14 + 3x= 161
Will mark brainliest
Answer:
x=25
Step-by-step explanation:
What are the roots of f(x)=(x-6)^2(x+2)^2
f(x)=0
⇒(x−6)^2. (x+2) ^2 =0
⇒(x−6)^2=0, (x+2)^2=0
⇒x=6,6 ⇒x=−2,−2.
List the values of A, B, and C. 5x+3y=-8
Answer:
My buns
Step-by-step explanation:
Answer:
Step-by-step explanation:
SO, THE EQUATION WILL BE :
5x -3y=-3
5x-3y+3 =0
a =5 , b=-3 ,c =3
Mai has a jar of quarters and dimes. She takes at least 10 coins out of the jar and has less than $2.00.
Answer:
?
Step-by-step explanation:
Problem 1
Sketch or describe the figure in Step 4 and Step 15.
Pattern of small squares. Step 1 has 1 square. Step 2 has 4 squares, 2 by 2 with bottom left square moved to top right corner. Step 3 has 9 squares, 3 by 3 with bottom left moved to top right corner.
How many small squares will there be in each of these steps?
Write an equation to represent the relationship between the step number, , and the number of small squares, , in each step.
Explain how your equation relates to the pattern.
Problem 2
Which expression represents the relationship between the step number and the total number of small squares in the pattern?
A pattern of small squares. Step 1 has 0 squares. Step 3 has 3 squares: 2 by 2 but missing the lower right square. Step 3 has 8 squares: 3 by 3 but missing the lower right square.
A:
B:
C:
D:
Problem 3
Each figure is composed of large squares and small squares. The side length of the large square is . Write an expression for the area of the shaded part of each figure.
Figure A
Large square with 1 by 1 small squares removed from each corner.
Figure B
2 large squares side by side. On the side of the right square, there are 2 small squares stacked vertically, each with dimensions 2 by 2.
Problem 4
Here are a few pairs of positive numbers whose difference is 5.
Find the product of each pair of numbers. Then, plot some points to show the relationship between the first number and the product.
first
number second
number product
1 6
2 7
3 8
5 10
7 12
Blank coordinate plane. Horizontal axis, first number, 0 to 10. Vertical axis, product, 0 to 100 by 10s.
Is the relationship between the first number and the product exponential? Explain how you know.
(From Algebra1, Unit 6, Lesson 1.)
Problem 5
Here are some lengths and widths of a rectangle whose perimeter is 20 meters.
Complete the table. What do you notice about the areas?
length
(meters) width
(meters) area
(square meters)
1 9
3 7
5
7
9
Without calculating, predict whether the area of the rectangle will be greater or less than 25 square meters if the length is 5.25 meters.
On the coordinate plane, plot the points for length and area from your table.
Do the values change in a linear way? Do they change in an exponential way?
A blank graph, origin O, with a grid.
Problem 6
Here is a pattern of dots.
Four figures, labeled step 0 through 3. Step 0, row with 1 dot. Step 1, row with 2 dots. Step 2, row with 2 dots above row with 3 dots. Step 3, 2 rows of 3 dots above row with 4 dots.
Complete the table.
How many dots will there be in Step 10?
How many dots will there be in Step ?
step total number
of dots
0
1
2
3 (From Algebra1, Unit 6, Lesson 2.)
Problem 7
Mai has a jar of quarters and dimes. She takes at least 10 coins out of the jar and has less than $2.00.
Write a system of inequalities that represents the number of quarters, , and the number of dimes, , that Mai could have.
Is it possible that Mai has each of the following combinations of coins? If so, explain or show how you know. If not, state which constraint—the amount of money or the number of coins—it does not meet.
3 quarters and 12 dimes
4 quarters and 10 dimes
2 quarters and 5 dimes
(From Algebra1, Unit 2, Lesson 25.)
Problem 8
A stadium can seat 63,026 people. For each game, the amount of money that the organization brings in through ticket sales is a function of the number of people, , in attendance.
If each ticket costs $30.00, find the domain and range of this function.
Answer:
The system of inequalities that can represent the situation is25q+0.1d<2.00 and x+y≥10.
Yes, it is possible because 3 + 12≥10 and 3 quarters and 12 dimes total $1.95 which is less than $2.00.
This is not possible because 4 quarters and 10 dimes is exactly $2.00, which is not less than $2.00.
This is not possible because 2 quarters and 5 dimes is only 7 coins, which is not at least 10 coins.
Step-by-step explanation:
Solve for x.
3x/2 = 15
x = 10 1/2
x = 1/10
x=22 1/3
x = 10
Answer:
x = 10
Step-by-step explanation:
3x/2 = 15
cross multiply
3x = 15 × 2
3x = 30
divide both sides by the coefficient of x
3x/3 = 30/3
x = 10
What is the solution to 5(2n+4)=−2(4n−1) ?
Answer: n= -1
Step-by-step explanation:
simplify by distributing:
5(2n+4)=-2(4n-1)
10n+20=-8n+2
add 8n to both sides:
10n+20=-8n+2
+8n +8n
————————
18n+20=2
subtract 20 from both sides
18n+20=2
-20 -20
————————
18n=-18
divide both sides by 18:
18n/18 = -18/18
n = -1
question is complete!
Point A is at (-6, 5) and point B is at (3, -7). What is the midpoint of line segment AB?
A man places a mirror on the ground and sees the reflection of the top of a flagpole as shown in the figure below. The two triangles in the figure are similar. Find the height h of the flagpole. Note that the two triangles are proportional to one another. a = 3, b = 7, c = 28
Answer:
Step-by-step explanation:
B
These two triangles are similar then the ratio of their corresponding sides will remain constant. Then the value of h is 65.33 units.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
A man places a mirror on the ground and sees the reflection on the top of a flagpole as shown in the figure below.
The two triangles in the figure are similar.
Note that the two triangles are proportional to one another. a = 3, b = 7, c = 28
If both triangles are similar then the ratio of their corresponding sides will remain constant.
Then we have
[tex]\rm \dfrac{h}{b} = \dfrac{c}{a}\\\\h \ = b \times \dfrac{c}{a}\\\\h\ = 7 \times \dfrac{28}{3}\\\\h \ = 65.33[/tex]
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